Intersections of ellipsoids and planes of arbitrary orientation and position |
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| Authors: | Colin C Ferguson |
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| Institution: | (1) Department of Geology, University of Nottingham, NG7 2RD Nottingham, United Kingdom |
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| Abstract: | This paper considers an ellipse, produced by the intersection of a triaxial ellipsoid and a plane (both arbitrarily oriented), and derives explicit expressions for its axis ratio and orientation. The relationship between central and noncentral sections, and the problem of intersection probability, are discussed. The resulting equations have obvious applications in structural geology and optical mineralogy, and in stereological modeling of grain-size and grain-shape distributions. |
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| Keywords: | analytic geometry petrography stereology computer simulation |
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